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Finding the Fourth Proportional to 9,523.58, 14,290.77 and 5,140.94

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Solution

The fourth proportional to 9,523.58, 14,290.77 and 5,140.94 is: 7,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.58 : 14,290.77 = 5,140.94 : x
  2. Step 2: Convert to fraction form
    9,523.58/14,290.77 = 5,140.94/x
  3. Step 3: Cross multiply
    9,523.58x = 14,290.77 × 5,140.94
  4. Step 4: Simplify right side
    9,523.58x = 73,467,991.12
  5. Step 5: Solve for x
    x = 73,467,991.12/9,523.58
  6. Step 6: Final answer
    x = 7,714.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.